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arXiv 1706.01616quant-ph
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利用多量子相干性将无序关联与纠缠联系起来

Relating out-of-time-order correlations to entanglement via multiple-quantum coherences

Martin Gärttner, Philipp Hauke, Ana Maria Rey

摘要:

无序关联(OTOC)表征了量子信息在系统所有自由度上的置乱或离域,因此已被提议作为量子系统中混沌的代理。最近在测量OTOC方面的实验进展要求更彻底地了解这些量如何表征复杂的量子系统,最重要的是在纠缠的积累方面。虽然已经推导出了OTOC和纠缠熵之间的联系,但后者只量化了纯系统中的纠缠,很难在实验上获得。在这项工作中,我们正式证明,多量子相干性谱,一个特定的家庭的OTOC众所周知的NMR,可以用来作为一个纠缠见证和作为一个直接探针的多粒子纠缠。我们的研究结果为实验测试纠缠是联系热力学、统计力学和量子引力的潜在粘合剂这一迷人的想法开辟了一条道路。

英文摘要:

Out-of-time-order correlations (OTOCs) characterize the scrambling, or delocalization, of quantum information over all the degrees of freedom of a system and thus have been proposed as a proxy for chaos in quantum systems. Recent experimental progress in measuring OTOCs calls for a more thorough understanding of how these quantities characterize complex quantum systems, most importantly in terms of the buildup of entanglement. Although a connection between OTOCs and entanglement entropy has been derived, the latter only quantifies entanglement in pure systems and is hard to access experimentally. In this work, we formally demonstrate that the multiple-quantum coherence spectra, a specific family of OTOCs well known in NMR, can be used as an entanglement witness and as a direct probe of multiparticle entanglement. Our results open a path to experimentally testing the fascinating idea that entanglement is the underlying glue that links thermodynamics, statistical mechanics, and quantum gravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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